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18254091072 = 263715786509
BaseRepresentation
bin10001000000000001…
…110101001101000000
31202010011021220110010
4101000001311031000
5244341021403242
612215200304520
71214232133260
oct210001651500
952104256403
1018254091072
117817a5a888
123655312140
13194ba76129
14c5248d7a0
1571c84989c
hex440075340

18254091072 has 112 divisors (see below), whose sum is σ = 55549109120. Its totient is φ = 5182175232.

The previous prime is 18254091067. The next prime is 18254091113. The reversal of 18254091072 is 27019045281.

It is a tau number, because it is divible by the number of its divisors (112).

It is a self number, because there is not a number n which added to its sum of digits gives 18254091072.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 167754 + ... + 254262.

Almost surely, 218254091072 is an apocalyptic number.

18254091072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18254091072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27774554560).

18254091072 is an abundant number, since it is smaller than the sum of its proper divisors (37295018048).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

18254091072 is a wasteful number, since it uses less digits than its factorization.

18254091072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86688 (or 86678 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 39.

The spelling of 18254091072 in words is "eighteen billion, two hundred fifty-four million, ninety-one thousand, seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 157 168 192 224 314 336 448 471 628 672 942 1099 1256 1344 1884 2198 2512 3297 3768 4396 5024 6594 7536 8792 10048 13188 15072 17584 26376 30144 35168 52752 70336 86509 105504 173018 211008 259527 346036 519054 605563 692072 1038108 1211126 1384144 1816689 2076216 2422252 2768288 3633378 4152432 4844504 5536576 7266756 8304864 9689008 13581913 14533512 16609728 19378016 27163826 29067024 38756032 40745739 54327652 58134048 81491478 95073391 108655304 116268096 162982956 190146782 217310608 285220173 325965912 380293564 434621216 570440346 651931824 760587128 869242432 1140880692 1303863648 1521174256 2281761384 2607727296 3042348512 4563522768 6084697024 9127045536 18254091072